Question

simplify. assume all variables are positive.
$(tu)^{\frac{1}{4}}$
write your answer in the form $a$ or $\frac{a}{b}$, where $a$ and $b$ are constants or variable expressions that have no variables in common. all exponents in your answer should be positive.

Explanation:

Step1: Apply power - of - a - product rule

According to the power - of - a - product rule $(ab)^n=a^n\times b^n$. Here $a = t$, $b = u$ and $n=\frac{1}{4}$. So, $(tu)^{\frac{1}{4}}=t^{\frac{1}{4}}u^{\frac{1}{4}}$.

Answer:

$t^{\frac{1}{4}}u^{\frac{1}{4}}$